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Soft Ideals And Generalized Fuzzy Ideals In Semigroups


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    (Department of Mathematics, Quaid-i-Azam University Islamabad, Pakistan)


    (Department of Mathematics, Quaid-i-Azam University Islamabad, Pakistan)

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    A soft semigroup over a semigroup is a collection of subsemigroups. Similarly, a soft ideal over a semigroup is a collection of ideals of the semigroup. As a natural consequence, the idea of soft ideals of a soft semigroup originates. Soft ideals over a semigroup with a fixed set of parameters form a distributive lattice. Soft sets are a very handy tool. Soft ideals over a semigroup characterize generalized fuzzy ideals and fuzzy ideals with thresholds of S.

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    Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal New Mathematics and Natural Computation.

    Volume (Year): 05 (2009)
    Issue (Month): 03 ()
    Pages: 599-615

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    Handle: RePEc:wsi:nmncxx:v:05:y:2009:i:03:p:599-615

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    Keywords: Soft sets; soft semigroups; soft ideals; fuzzy ideals; ; β)-fuzzy ideals;


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